Recursive and Explicit Patterns

Write the recursive formula of 13, 9, 5...

• f(n) =f(n−1) − 4; f(1) = 13

• f(n) =f(n−1) +3; f(1) = 13

• f(n) =f(n−1) -5; f(1) = 13

• f(n) =f(n−1) +4; f(1) = 4

Write the recursive formula for 6, 17, 28, 39, 50....

• f(n) = f(n−1) + 11; f(1) = 6

• f(n) =f(n−1) − 4; f(1) = 6

• f(n) =f(n−1) + 9; f(1) = 6

• f(n) =f(n−1) + 6; f(1) = 6

Given the recursive formula, find the first four terms:

f(n) = f(n −1) + 5

f(1) = −16

• -16, -21, -26, -31

• 5, -11, -27, -43

• -16, -80, -500, -200

• -16, -11, -6, -1

Is the sequence geometric or arithmetic?

6, 12, 18, 24...

• Arithmetic

• Geometric

• Neither

What is the explicit rule for the sequence:

11, 22, 33, 44..

• f(n) = 11n +11

• f(n) = 0 + 11n

• f(n) = 11 + 2n

What is the explicit form for the following sequence

3, 13, 23, 33, 43...

• f(n)= −7+10n

• f(n)= 10 + 3n

• f(n)= 3 +10n

• f(n) = 7 + 10n

What is the explicit equations for this function?

• f(n) = 5 +2n

• f(n) = 5 − 2n

• f(n) = 0 + 2n

• f(n) = 5 + 2n

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

• f(n) = 29 + 4n

• f(n) = 29 − 4n

• _f(n) = 25 − 4n

• f(n) = 25 + 4n

Select the explicit rule that represents the sequence.

• 68 + 11n

• 68 − 11n

• 79 − 11n

• 79 + 11n

Select the explicit rule that represents the sequence.

• 1 + 5n

• 6 + 5n

• 5n + 6

• 1 + 6n